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Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

Sending Cards

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?

Dice and Spinner Numbers

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

Surprising Split

Age 7 to 11
Challenge Level
Take a look at this video, which has no sound:

If you can't access YouTube, here is a direct link to the video: SurprisingSplit.mp4 

Click below if you would like to read a description of what happens in the video.

54 x 11 is written.
Below that, the 5 and 4 are written again but separated so that there is a gap between them. A curved line is drawn linking the 5 and 4 and an addition sign is written below it. The number 9 is written between the 5 and 4.
Below that, 594 = 54 x 11 is written.

What do you notice?
What would you like to ask?

You might want to watch the video again.

Can you re-create this trick for yourself for 54 x 11?
Try the trick for a different multiple of 11.  What happens?

Does the trick always work, for any multiple of 11?

This isn't really a trick, it's maths!  Can you explain why it works?

Thank you to David Frankau and Mr Hadfield from the Pointer School in Greenwich who drew our attention to a trick for the 11 times table, which we have adapted for this task.